The research on damages of structures that are supported by deep foundations has been quite intensive in the past decade. Kinematic interaction in soil-pile interaction is evaluated based on the p-y curve approach. Existing p-y curves have considered the effects of relative density on soil-pile interaction in sandy soil. The roughness influence of the surface wall pile on p-y curves has not bee...

We consider hyperbolic curves over an algebraically closed field k of characteristic zero. We call two such curves X, Y isogenous if there exists a nonempty scheme C , together with finite étale morphisms C → X, C → Y . (We refer to such a pair (C → X,C → Y ) as a correspondence from X to Y .) It is easy to see that the relation of isogeny is an equivalence relation on the set of isomorphism cl...

Every curve or surface can be defined by a set of parametric functions. For instance, (x,y,z) coordinates of the points of the curve can be given by:) (), (), (t Z z t Y y t X x = = = t being the parameter and X, Y, Z being polynomial functions in t. If X, Y and Z are 1 st degree polynomials, a line segment will be defined. In that case, two knowns only (i.e. two points or a point and a slope) ...

In this paper, a very efficient method, called single matrix block analyzer (SMBA), has been developed to determine relative permeability and capillary pressure curves from spontaneous imbibition (SI) data. SMBA mimics realistically the SI tests by appropriate boundary conditions modeling. In the proposed method, a cuboid with an identical core plug height is considered. The equal dimensions of...

We study arithmetical and geometrical properties of maximal curves, that is, curves defined over the finite field Fq2 whose number of Fq2 -rational points reachs the Hasse-Weil upper bound. Under a hypothesis on non-gaps at rational points we prove that maximal curves are Fq2 -isomorphic to y q + y = x for some m ∈ Z.

0 Introduction We consider algebraic surfaces Y ⊂ IP3(C). A cusp (=singularity A2) on Y is a singularity near which the surface is given in local (analytic) coordinates x, y and z, centered at the singularity, by an equation xy − z = 0. This is an isolated quotient singularity C2/ZZ3. A set P1, ..., Pn of cusps on Y is called 3-divisible, if there is a cyclic global triple cover of Y branched p...

Using Weil descent, we give bounds for the number of rational points on two families of curves over finite fields with a large abelian group of automorphisms: Artin-Schreier curves of the form y−y = f(x) with f ∈ Fqr [x], on which the additive group Fq acts, and Kummer curves of the form y q−1 e = f(x), which have an action of the multiplicative group Fq . In both cases we can remove a √ q fact...

We study arithmetical and geometrical properties of maximal curves, that is, curves defined over the finite field F q 2 whose number of F q 2-rational points reaches the Hasse-Weil upper bound. Under a hypothesis on non-gaps at a rational point, we prove that maximal curves are F q 2-isomorphic to y q + y = x m , for some m ∈ Z +. As a consequence we show that a maximal curve of genus g = (q − ...

Considering the family F of contour curves F = {h(x, y) = k) of an (idempotent) aggregation operator h in two variables as a oneparametric family of curves, the differential equation y′ = f(x, y) having F as general solution is associated to h. Properties of h have then be translated to properties of its differential equation. Reciprocally, for a differential equation fulfilling some easy prope...